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On Isodual Cyclic Codes over Finite Chain Rings

  • Aicha BatoulEmail author
  • Kenza Guenda
  • T. Aaron Gulliver
  • Nuh Aydin
Conference paper
  • 677 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10194)

Abstract

In this work, cyclic isodual codes over finite chain rings are investigated. These codes are monomially equivalent to their duals. Existence results for cyclic isodual codes are given based on the generator polynomials, the field characteristic, and the length. Several constructions of isodual and self-dual codes are also presented.

Keywords

Isodual codes Self-dual codes Cyclic codes Finite chain rings Codes over rings 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Aicha Batoul
    • 1
    Email author
  • Kenza Guenda
    • 1
  • T. Aaron Gulliver
    • 2
  • Nuh Aydin
    • 3
  1. 1.Faculty of MathematicsUniversity of Science and TechnologyAlgiersAlgeria
  2. 2.Department of Electrical and Computer EngineeringUniversity of VictoriaVictoriaCanada
  3. 3.Department of Mathematics and StatisticsKenyon CollegeGambierUSA

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